X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=matita%2Fmatita%2Fcontribs%2Flambdadelta%2Fbasic_2%2Frelocation%2Flexs_lexs.ma;h=753b43b2efdc671f3325d2d7228734e7e685d0c0;hb=5c186c72f508da0849058afeecc6877cd9ed6303;hp=545420f3b72ca1c17f07d52c37a1c376bfe08615;hpb=397413c4196f84c81d61ba7dd79b54ab1c428ebb;p=helm.git diff --git a/matita/matita/contribs/lambdadelta/basic_2/relocation/lexs_lexs.ma b/matita/matita/contribs/lambdadelta/basic_2/relocation/lexs_lexs.ma index 545420f3b..753b43b2e 100644 --- a/matita/matita/contribs/lambdadelta/basic_2/relocation/lexs_lexs.ma +++ b/matita/matita/contribs/lambdadelta/basic_2/relocation/lexs_lexs.ma @@ -45,14 +45,13 @@ theorem lexs_trans_gen (RN1) (RP1) (RN2) (RP2) (RN) (RP): ] qed-. -(* Basic_2A1: includes: lpx_sn_trans *) theorem lexs_trans (RN) (RP) (f): (∀g,I,K. lexs_transitive RN RN RN RN RP g K I) → (∀g,I,K. lexs_transitive RP RP RP RN RP g K I) → Transitive … (lexs RN RP f). /2 width=9 by lexs_trans_gen/ qed-. theorem lexs_trans_id_cfull: ∀R1,R2,R3,L1,L,f. L1 ⪤*[R1, cfull, f] L → 𝐈⦃f⦄ → - ∀L2. L ⪤*[R2, cfull, f] L2 → L1 ⪤*[R3, cfull, f] L2. + ∀L2. L ⪤*[R2, cfull, f] L2 → L1 ⪤*[R3, cfull, f] L2. #R1 #R2 #R3 #L1 #L #f #H elim H -L1 -L -f [ #f #Hf #L2 #H >(lexs_inv_atom1 … H) -L2 // ] #f #I1 #I #K1 #K #HK1 #_ #IH #Hf #L2 #H @@ -61,7 +60,6 @@ elim (lexs_inv_push1 … H) -H #I2 #K2 #HK2 #_ #H destruct /3 width=1 by lexs_push/ qed-. -(* Basic_2A1: includes: lpx_sn_conf *) theorem lexs_conf (RN1) (RP1) (RN2) (RP2): ∀L,f. (∀g,I,K,n. ⬇*[n] L ≘ K.ⓘ{I} → ↑g = ⫱*[n] f → R_pw_confluent2_lexs RN1 RN2 RN1 RP1 RN2 RP2 g K I) →